Simone wrote the following geometric statement. The diagonals of a parallelogram are congruent.
Then Simone drew a parallelogram in which the diagonals had different lengths. Which statement BEST describes what Simone did?

A She stated a theorem, then used a postulate to show that the theorem is true.
B. She stated a theorem, then used a postulate to show that the theorem is false.
C. She made a conjecture, then used an example to show that her conjecture is true,
D. She made a conjecture, then used a counterexample to show that her conjecture is false.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

one set of data has more variation than the other. hope this !

answer: your answer is c

step-by-step explanation: